TSTP Solution File: GRP031-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP031-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:35:21 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 5 RR)
% Number of literals : 13 ( 0 equ; 8 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity1,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(Z,U,W)
| product(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP002-0.ax',associativity1) ).
cnf(associativity2,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(X,V,W)
| product(Z,U,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP002-0.ax',associativity2) ).
cnf(left_identity,hypothesis,
product(identity,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
cnf(left_inverse,hypothesis,
product(inverse(X),X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
cnf(prove_a_has_an_inverse,negated_conjecture,
~ product(a,X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_has_an_inverse) ).
cnf(23,plain,
~ product(inverse(X),identity,a),
inference('UR-RESOLVE',[status(thm)],[associativity2,left_identity,left_inverse,prove_a_has_an_inverse]) ).
cnf(61,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[associativity1,23,left_inverse,left_inverse,left_identity]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 05:25:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T05:25:22
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-14T05:25:22
% 0.20/0.49
% 0.20/0.49 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.20/0.49 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 0.20/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 0.20/0.49 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.20/0.52 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 359 formulas have been input or derived (from 15 formulas).
% 0.20/0.52 ; 61 (17%) were retained. Of these,
% 0.20/0.52 ; 7 (11%) were simplified or subsumed later,
% 0.20/0.52 ; 54 (89%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.002 5% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 2% Assert (7 calls)
% 0.20/0.52 ; 0.008 18% Process new row (315 calls)
% 0.20/0.52 ; 0.010 23% Resolution (28 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (14 calls)
% 0.20/0.52 ; 0.000 0% Condensing (3 calls)
% 0.20/0.52 ; 0.000 0% Forward subsumption (3 calls)
% 0.20/0.52 ; 0.000 0% Backward subsumption (3 calls)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.20/0.52 ; 0.001 2% Forward simplification (301 calls)
% 0.20/0.52 ; 0.000 0% Backward simplification (61 calls)
% 0.20/0.52 ; 0.000 0% Ordering (8 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.022 50% Other
% 0.20/0.52 ; 0.044 Total
% 0.20/0.52 ; 0.046 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 94 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 5 nodes (5 at peak, 5 added, 0 deleted).
% 0.20/0.52 ; Retrieved 1 possibly forward subsuming row in 3 calls.
% 0.20/0.52 ; Retrieved 1 possibly backward subsumed row in 3 calls.
% 0.20/0.52 ; Path-index has 87 entries (87 at peak, 98 added, 11 deleted).
% 0.20/0.52 ; Path-index has 145 nodes (145 at peak, 153 added, 8 deleted).
% 0.20/0.52 ; Trie-index has 87 entries (87 at peak, 98 added, 11 deleted).
% 0.20/0.52 ; Trie-index has 242 nodes (242 at peak, 269 added, 27 deleted).
% 0.20/0.52 ; Retrieved 442 generalization terms in 467 calls.
% 0.20/0.52 ; Retrieved 67 instance terms in 57 calls.
% 0.20/0.52 ; Retrieved 3,894 unifiable terms in 577 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 18 entries:
% 0.20/0.52 ; 6 with value 7 1 with value 10 2 with value 12
% 0.20/0.52 ; 5 with value 9 1 with value 11 3 with value 13
% 0.20/0.52 ; The agenda of rows to give has 40 entries:
% 0.20/0.52 ; 1 with value (4 8) 9 with value (4 11) 6 with value (4 14)
% 0.20/0.52 ; 9 with value (4 9) 3 with value (4 12) 1 with value (4 15)
% 0.20/0.52 ; 6 with value (4 10) 5 with value (4 13)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.046 seconds of real time
% 0.20/0.52 0.039119 seconds of user run time
% 0.20/0.52 0.007067 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 2,398,816 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T05:25:22
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------